What is the relationship between Ka and Kb for a conjugate acid-base pair?

Practice Questions

Q1
What is the relationship between Ka and Kb for a conjugate acid-base pair?
  1. Ka + Kb = Kw
  2. Ka * Kb = Kw
  3. Ka - Kb = Kw
  4. Ka / Kb = Kw

Questions & Step-by-Step Solutions

What is the relationship between Ka and Kb for a conjugate acid-base pair?
  • Step 1: Understand that a conjugate acid-base pair consists of an acid and its corresponding base. For example, if you have an acid (HA), its conjugate base is (A-).
  • Step 2: Know that Ka is the acid dissociation constant, which measures how well the acid donates protons (H+).
  • Step 3: Know that Kb is the base dissociation constant, which measures how well the base accepts protons (H+).
  • Step 4: Remember that Kw is the ion product of water, which is equal to 1.0 x 10^-14 at 25 degrees Celsius.
  • Step 5: The relationship between Ka and Kb for a conjugate acid-base pair is given by the formula: Ka * Kb = Kw.
  • Step 6: This means that if you know Ka for an acid, you can find Kb for its conjugate base using the formula: Kb = Kw / Ka.
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